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Finding the Third Proportional to 97,063.31 and 148,609.69

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Solution

The third proportional to 97,063.31 and 148,609.69 is: 227,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,063.31 : 148,609.69 = 148,609.69 : x
  2. Step 2: Convert to fraction form
    97,063.31/148,609.69 = 148,609.69/x
  3. Step 3: Cross multiply
    97,063.31x = 148,609.69 × 148,609.69
  4. Step 4: Simplify right side
    97,063.31x = 22,084,839,218.85
  5. Step 5: Solve for x
    x = 22,084,839,218.85/97,063.31
  6. Step 6: Final answer
    x = 227,530.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.